(X+4)(x+4)=2x^2+7x+14

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Solution for (X+4)(x+4)=2x^2+7x+14 equation: 


Simplifying
(X + 4)(x + 4) = 2x2 + 7x + 14

Reorder the terms:
(4 + X)(x + 4) = 2x2 + 7x + 14

Reorder the terms:
(4 + X)(4 + x) = 2x2 + 7x + 14

Multiply (4 + X) * (4 + x)
(4(4 + x) + X(4 + x)) = 2x2 + 7x + 14
((4 * 4 + x * 4) + X(4 + x)) = 2x2 + 7x + 14
((16 + 4x) + X(4 + x)) = 2x2 + 7x + 14
(16 + 4x + (4 * X + x * X)) = 2x2 + 7x + 14
(16 + 4x + (4X + xX)) = 2x2 + 7x + 14

Reorder the terms:
(16 + 4X + 4x + xX) = 2x2 + 7x + 14
(16 + 4X + 4x + xX) = 2x2 + 7x + 14

Reorder the terms:
16 + 4X + 4x + xX = 14 + 7x + 2x2

Solving
16 + 4X + 4x + xX = 14 + 7x + 2x2

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + 4X + 4x + -16 + xX = 14 + 7x + -16 + 2x2

Reorder the terms:
16 + -16 + 4X + 4x + xX = 14 + 7x + -16 + 2x2

Combine like terms: 16 + -16 = 0
0 + 4X + 4x + xX = 14 + 7x + -16 + 2x2
4X + 4x + xX = 14 + 7x + -16 + 2x2

Reorder the terms:
4X + 4x + xX = 14 + -16 + 7x + 2x2

Combine like terms: 14 + -16 = -2
4X + 4x + xX = -2 + 7x + 2x2

Add '-4x' to each side of the equation.
4X + 4x + -4x + xX = -2 + 7x + -4x + 2x2

Combine like terms: 4x + -4x = 0
4X + 0 + xX = -2 + 7x + -4x + 2x2
4X + xX = -2 + 7x + -4x + 2x2

Combine like terms: 7x + -4x = 3x
4X + xX = -2 + 3x + 2x2

Reorder the terms:
2 + 4X + -3x + xX + -2x2 = -2 + 3x + 2x2 + 2 + -3x + -2x2

Reorder the terms:
2 + 4X + -3x + xX + -2x2 = -2 + 2 + 3x + -3x + 2x2 + -2x2

Combine like terms: -2 + 2 = 0
2 + 4X + -3x + xX + -2x2 = 0 + 3x + -3x + 2x2 + -2x2
2 + 4X + -3x + xX + -2x2 = 3x + -3x + 2x2 + -2x2

Combine like terms: 3x + -3x = 0
2 + 4X + -3x + xX + -2x2 = 0 + 2x2 + -2x2
2 + 4X + -3x + xX + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
2 + 4X + -3x + xX + -2x2 = 0

The solution to this equation could not be determined.

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